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Finding the Fourth Proportional to 203,200.30, 304,652.76 and 84,905.50

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Solution

The fourth proportional to 203,200.30, 304,652.76 and 84,905.50 is: 127,296.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,200.30 : 304,652.76 = 84,905.50 : x
  2. Step 2: Convert to fraction form
    203,200.30/304,652.76 = 84,905.50/x
  3. Step 3: Cross multiply
    203,200.30x = 304,652.76 × 84,905.50
  4. Step 4: Simplify right side
    203,200.30x = 25,866,694,914.18
  5. Step 5: Solve for x
    x = 25,866,694,914.18/203,200.30
  6. Step 6: Final answer
    x = 127,296.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.